I want to know if the domain has Pagerank and if it does not have info in google,then the Pagerank is considered as fake or real.
If it has had PR for a long time and is still not showing up for info search, then yes, that's generally considered proof the PR is fake. Sometimes just after domain deletes it will still show PR in the Toolbar ranks, but will be out of info search because it deleted. Since the info search is updated more often than PR shown is, these sites will come back with no result while displaying PR.
If there is no info: then I would try site: and check each page to see if it is cached. If both info: & site: and empty, it is almost definitely fake PR.
no ,it' maybe valid PR , because before i bought PR4 domaine , but i find the domaine don't have any info in google , and it'snt indexed by google , then i try to install in my domain : subdreamer script ,and i wait 10 days , but no indexing by google , but when i change script and content and i use onarcade scriot the site was indexed very good in google.
To huge risk if not cache / siteinfo. In reality 98% of domains like this have fake PR. Domain with fake PR its just waste of money and time, also not worth nothing for SE and SEO.